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A proposal for a search of galactic axions using magnetized materials
QUAX (QUaerere Axion) A proposal for a search of galactic axions using magnetized materials Short theoretical introduction Current situation Laboratory searches The proposal
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The strong CP problem The QCD lagrangian contains a term that foresees CP violation The parameter q is unprescribed by the theory, it is expected to be q ~ 1. QCD interaction actually depends on q through its difference with the phase of the quark mass matrix: VERY FINE TUNING! -> STRONG CP PROBLEM
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Dynamical Solution
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Axion interactions Several interactions are possible: they are model dependent Quark Quark derivative Gluon A B C Photon Lepton D E Two main models: Kim-Shifman-Vainstein-Zakharov (KSVZ) (Kim 1979; Shifman, Vainstein, and Zhakharov 1980) Dine-Fischler-Srednicki- Zhitnitskii (DFSZ) (Zhitnitskii 1980; Dine, Fischler, and Srednicki, 1981a, 1981b)
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Axion interactions 2 Axion interactions are model dependent
Axion photon photon gg = 0.36 (DFSZ) gg = (KSVZ) Axion electron electron (DFSZ) ge = 0 (KSVZ) All couplings are extremely weak!
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Does the axion exist? Excluded Searches Hint
While the standard Peccei Quinn Weinberg Wilczeck (PQWW) axion was soon ruled out ( Electro Weak Scale F = 250 GeV ), the other axion (DFSZ, KSVZ) continues to evade all current experimental limits A reduced window of possibilities is actually left for discovery Excluded Searches Hint From G. Raffelt talk in Vistas in Axion Physics, INT, Seattle, 23–26 April 2012
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Axions in the galactic halo
In order to explain galaxy rotation curves, an halo of dark matter is hypothesize Accepted value for local dark matter density Cold dark matter component is thermalized and has a Maxwellian velocity distribution There might be a non-thermalized component with sharper velocity distribution
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Can we detect axions? Searching for “invisible axion” extremely challenging Most promising approach to date: use axion-photon-photon vertex Primakoff effect: scattering from an electromagnetic field (virtual photon) In the presence of an external field (magnetic or electric) the axion and the photon mix and give rise to oscillation/conversion G. Carosi et al, Contemp. Phys. 49, 281 (2008) Higher magnetic field are easily obtainable than electric fields
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Haloscopes – Galactic axions
Search for cold dark matter constituent Original proposal by P. Sikivie (1983) DM particles converted into photons inside a magnetic field (Primakoff) The mass of the DM particle determines the frequency of the photons to be detected. For axions we are in the microwave range. ba~ axion velocity Use a microwave cavity to enhance signal. Cavity must be tuned to axion mass. Being this unknown, tuning is necessary: very time consuming experiment! meV <-> GHz
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Haloscopes – Galactic axions
Search for cold dark matter constituent having galactic density ra Original proposal by P. Sikivie (1983) DM particles converted into photons inside a magnetic field (Primakoff) Expected signal a nearly monochromatic line. Broadened by the thermal distribution of DM in the Milky Way Power proportional to the number density and the square of the axion-photon coupling
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Haloscope detectors Pilot experiments in Brookhaven (1988) and University of Florida (1990) Second generation experiments: Lawrence Livermore employing low noise amplifier detectors Kyoto employing Rydberg atom detectors ADMX – Axion Dark Matter eXperiment High Q microwave cavity inside an 8.5 T magnet Almost Quantum Limited SQUID detector Reached sensitivity for probing DM axion: If all galactic DM is all made of axion If we assume KSVZ model right If the axion has the right mass, i.e. resonant with the cavity
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ADMX recent progress and prospects
The experiment goes to a second stage with a collaboration between University of Washington and Yale New scheme to employ SQUID at higher frequency New type of amplifier at frequencies above a few Ghz Use higher order modes in the resonant cavity Optimize cavity material to obtain higher Qs – hybrid superconducting cavities Photonic band gap cavity in the multi-GHz range
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New proposal: QUAX (QUearere AXion)
A new proposal tries to exploit the axion electron coupling Due to the motion of the solar system in the galaxy, the axion DM cloud acts as an effective magnetic field on electron spin The ferromagnetic transition in a magnetized sample can be excited and thus emits microwave photons RF Power Axion YIG Wind Idea come from several old works: L.M. Krauss, J. Moody, F. Wilczeck, D.E. Morris, ”Spin coupled axion detections”, HUTP-85/A006 (1985) L.M. Krauss, ”Axions .. the search continues”, Yale Preprint YTP (1985) R. Barbieri, M. Cerdonio, G. Fiorentini, S. Vitale, Phys. Lett. B 226, 357 (1989) A.I. Kakhizde, I. V. Kolokolov, Sov. Phys. JETP (1991)
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Axion electron interaction
The interaction of the axion with the a spin ½ particle In the non relativistic approximation The interaction term has the form of a spin - magnetic field interaction with playing the role of an effective magnetic field
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Galactic axions With the following hypothesis:
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FMR magnetometry We exploit the Ferromagnetic Resonance (FMR) inside a magnetized ferrimagnetic material EPR/FMR resonances inside a magnetic media can be tuned by an external magnetizing field and lies in the multi GHz range (radio frequency) 1 T -> 28 GHz
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Axion RF signal The axion interaction with the electron spins will excite the FMR transition corresponding to its mass The emitted power, using the magnetic dipole emission formula, is M0 – sample magnetization – spin-spin relaxation time V – sample volume w0 = wa – transition angular frequency
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Axion RF signal Detection noise not a major issue
w0/2p = 17 GHz --> ma=70 meV Power [Watt] w0/2p Frequency [Hz] Detection noise not a major issue Commercial low noise HEMT amplifiers have input noise level of ~10-22 W/√Hz
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Intrinsic noise Major noise source is magnetization noise: its estimation procedure not well established. We have used two models based on different starting assumptions. Fluctuation – dissipation theorem: The power spectral density of the magnetization noise is calculated using the imaginary part of the magnetic susceptibility: Thermal magnon photon emission: the RF emission by the spin waves (magnons) is considered within a RF resonator with quality factor Q (I. Kolokolov)
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Detection scheme Detection performed in a high Q microwave resonator
Ferrimagnetic material placed in antinodes of the resonator Resonator in an homogenous axial magnetic field Cryogenic system to avoid black body photons and to enhance properties of magnetic material Low noise detector chain (Quantum limited?) Cavity to enhance SNR
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QUAX goal Reach the axion model coupling constant within a 4 year development in a narrow axion mass range Major issue is to demonstrate that noise sources are under control in reasonable amount of time, thus allowing to extend the mass range in a larger apparatus
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QUAX Beam Pattern EFFETTO DIREZIONALE SPIN ELETTRONE -ASSIONE
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People PADOVA LEGNARO TORINO TOT FTE INFN 5.3 BIRMINGHAM
Clive Speake Experimentalist - University full professor MOSCA Igor Kolokolov - Theoretician - Vice director Landau Institute
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Activity 1) High Susceptibility Material , Low Dissipation (LNL-INRIM.TO ) 2) Low Noise Receiver : Linear / near QL( PD-LNL) 3) High Frequency High Q Microwave Cavity 10^5: (PD-LNL) 4) High Magnetic Field : Tesla ( GE-LNL ) 5) 100 milliKelvin ( TN-PD )
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Peccei Quinn simmetry: the axion
Peccei and Quinn (1977) proposed to solve the strong CP problem by postulating the existence of a global UPQ(1) quasi-symmetry (it is spontaneously broken). Theta = a(x) /F Campo dinamico The axion (Weinberg 1978, Wilczeck 1978) is the pseudo Goldstone boson associated with the spontaneous breakdown of the PQ symmetry. The axion is a light pseudoscalar boson the cousin of the p0 : mp = 135 MeV – pion mass fp = 93 MeV – pion decay constant fa – Peccei Quinn symmetry breaking scale
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